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Related papers: Predicting Shape Development: a Riemannian Method

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The ability to predict the future trajectory of a patient is a key step toward the development of therapeutics for complex diseases such as Alzheimer's disease (AD). However, most machine learning approaches developed for prediction of…

Riemannian metric learning is an emerging field in machine learning, unlocking new ways to encode complex data structures beyond traditional distance metric learning. While classical approaches rely on global distances in Euclidean space,…

Machine Learning · Statistics 2025-10-01 Samuel Gruffaz , Josua Sassen

Recent studies on modelling the progression of Alzheimer's disease use a single modality for their predictions while ignoring the time dimension. However, the nature of patient data is heterogeneous and time dependent which requires models…

Computers and Society · Computer Science 2021-10-19 Sofia Lahrichi , Maryem Rhanoui , Mounia Mikram , Bouchra El Asri

In this study we propose a deformation-based framework to jointly model the influence of aging and Alzheimer's disease (AD) on the brain morphological evolution. Our approach combines a spatio-temporal description of both processes into a…

Neurons and Cognition · Quantitative Biology 2019-05-27 Raphaël Sivera , Hervé Delingette , Marco Lorenzi , Xavier Pennec , Nicholas Ayache

Statistical shape modeling is the computational process of discovering significant shape parameters from segmented anatomies captured by medical images (such as MRI and CT scans), which can fully describe subject-specific anatomy in the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-01 Krithika Iyer , Shireen Elhabian

Alzheimer's disease (AD) is a degenerative brain disease impairing a person's ability to perform day to day activities. The clinical manifestations of Alzheimer's disease are characterized by heterogeneity in age, disease span, progression…

Machine Learning · Computer Science 2018-12-07 Vipul Satone , Rachneet Kaur , Faraz Faghri , Mike A Nalls , Andrew B Singleton , Roy H Campbell

In this paper we develop the theory of parametric polynomial regression in Riemannian manifolds and Lie groups. We show application of Riemannian polynomial regression to shape analysis in Kendall shape space. Results are presented, showing…

Statistics Theory · Mathematics 2012-03-02 Jacob Hinkle , Prasanna Muralidharan , P. Thomas Fletcher , Sarang Joshi

In many applications, one is interested in the shape of an object, like the contour of a bone or the trajectory of joints of a tennis player, irrespective of the way these shapes are parameterized. However for analysis of these shape…

Differential Geometry · Mathematics 2023-03-22 Alice Barbora Tumpach , Stephen C. Preston

Longitudinal magnetic resonance imaging data is used to model trajectories of change in brain regions of interest to identify areas susceptible to atrophy in those with neurodegenerative conditions like Alzheimer's disease. Most methods for…

Applications · Statistics 2024-07-25 Robert Zielinski , Kun Meng , Ani Eloyan

Neurodegeneration as measured through magnetic resonance imaging (MRI) is recognized as a potential biomarker for diagnosing Alzheimer's disease (AD), but is generally considered less specific than amyloid or tau based biomarkers. Due to a…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Rosemary He , Gabriella Ang , Daniel Tward

Multi-modal biological, imaging, and neuropsychological markers have demonstrated promising performance for distinguishing Alzheimer's disease (AD) patients from cognitively normal elders. However, it remains difficult to early predict when…

Computer Vision and Pattern Recognition · Computer Science 2019-01-08 Hongming Li , Yong Fan

Joint models for longitudinal and time-to-event data are commonly used in longitudinal studies to forecast disease trajectories over time. Despite the many advantages of joint modeling, the standard forms suffer from limitations that arise…

Machine Learning · Statistics 2018-07-10 Bryan Lim , Mihaela van der Schaar

Inpainting has recently been proposed as a successful deep learning technique for unsupervised medical image model discovery. The masks used for inpainting are generally independent of the dataset and are not tailored to perform on…

Image and Video Processing · Electrical Eng. & Systems 2022-07-14 Yousef Yeganeh , Azade Farshad , Nassir Navab

Background: Alzheimers disease is a progressive neurodegenerative disorder and the main cause of dementia in aging. Hippocampus is prone to changes in the early stages of Alzheimers disease. Detection and observation of the hippocampus…

Image and Video Processing · Electrical Eng. & Systems 2021-06-17 Hossein Yousefi-Banaem , Saber Malekzadeh

Current neuroimaging techniques provide paths to investigate the structure and function of the brain in vivo and have made great advances in understanding Alzheimer's disease (AD). However, the group-level analyses prevalently used for…

Quantitative Methods · Quantitative Biology 2021-05-31 Nanyan Zhu , Chen Liu , Xinyang Feng , Dipika Sikka , Sabrina Gjerswold-Selleck , Scott A. Small , Jia Guo

Hippocampal atrophy in Alzheimer's disease (AD) is asymmetric and spatially inhomogeneous. While extensive work has been done on volume and shape analysis of atrophy of the hippocampus in AD, less attention has been given to hippocampal…

Image and Video Processing · Electrical Eng. & Systems 2024-09-20 Shen Zhu , Ifrah Zawar , Jaideep Kapur , P. Thomas Fletcher

Understanding how anatomical shapes evolve in response to developmental covariates and quantifying their spatially varying uncertainties is critical in healthcare research. Existing approaches typically rely on global time-warping…

Robust forecasting of the future anatomical changes inflicted by an ongoing disease is an extremely challenging task that is out of grasp even for experienced healthcare professionals. Such a capability, however, is of great importance…

Computer Vision and Pattern Recognition · Computer Science 2022-11-09 Dmitrii Lachinov , Arunava Chakravarty , Christoph Grechenig , Ursula Schmidt-Erfurth , Hrvoje Bogunovic

We present a Riemannian framework for linear and quadratic discriminant classification on the tangent plane of the shape space of curves. The shape space is infinite dimensional and is constructed out of square root velocity functions of…

Longitudinal imaging analysis tracks disease progression and treatment response over time, providing dynamic insights into treatment efficacy and disease evolution. Radiomic features extracted from medical imaging can support the study of…

Applications · Statistics 2025-05-14 Isabella Cama , Michele Piana , Cristina Campi , Sara Garbarino